The Slope-Intercept form of the equation of a line is:
[tex]y=mx+b[/tex]
Where "m" is the slope of the line and "b" is the y-intercept.
In this case you have this equation:
[tex]y-2x=8[/tex]
You can write it in Slope-Intercept form by solving for "y":
[tex]y=2x+8[/tex]
You can identify that:
[tex]\begin{gathered} m=2 \\ b=8 \end{gathered}[/tex]
In order to find which equation is parallel to the given line, you need to identify that line whose slope is:
[tex]m=2[/tex]
And whose y-intercept is:
[tex]b\ne8[/tex]
Based on the above, you can determine that this line is the parallel one:
[tex]y=2x+5[/tex]
The answer is: Option a.
